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A stone is tossed vertically upward with an initial velocity of 30 ft/s from the top of a 40 ft building. What is the height of the stone after 0.21 s?
A coin is tossed three times. What is the conditional probability that the outcome is THT given that at least one head occurs?
Let m'(A) = inf sum of |M_i| where i is from 1 to infinity, such that A is a subset of M_i. M_i's are disjoint.
Find the average value of the function in the given region. The average value of f(x)=1/x over [1,10] is______.
Explain and give examples for the following:- Equivalent sets vs. Equal sets-Cardinality of sets and how cardinality relates to the number of subsets of a set
find the perimeter of the triangle lying in xyz-space with vertices at the points: (5,-2,3), (4,7,3), and (4,7,9)
Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols.
Find the area A of the region if the length of the side parallel to the river bank is one-half the length of an adjacent side.
suppose that the points a and b are two vertices of a square. find the two other vertices in all possible cases.
Find the area of the region enclosed by the curves y = 5cos((pi*x)/2) and y = 5-5x^2
Determine whether the mean value Theorem applies to the following functions on the given interval [a,b] and if, so find or approximate the point(s) that are guaranteed to exist by the mean value theorem.
For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
Assume we interview 150 people and ask them the mileage on their car. If we assume that the population mean mileage is 100000 miles, with a population standard deviation of 30000 miles, what does the Central Limit Theorem tell us about the distrib..
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